5 papers
Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a coupled Discrete Empirical Interpolation Method (DEIM) and Generalized Multiscale Finite element method (GMsFEM) to solve nonlinear parabolic equations…
Online conservative generalized multiscale finite element method for flow models
Yiran Wang, Eric Chung, Shubin Fu +1
In this paper, we consider an online enrichment procedure using the Generalized Multiscale Finite Element Method (GMsFEM) in the context of a two-phase flow model in heterogeneous…
Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media
Xia Wang, Eric Chung, Shubin Fu +1
Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usuall…
Recovery of the time-dependent source term in the stochastic fractional diffusion equation with heterogeneous medium
Shubin Fu, Zhidong Zhang
In this work, an inverse problem in the fractional diffusion equation with random source is considered. The measurements used are the statistical moments of the realizations of sin…
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains
Shubin Fu, Guanglian Li, Richard Craster +1
We introduce a new efficient algorithm for Helmholtz problems in perforated domains with the design of the scheme allowing for possibly large wavenumbers. Our method is based upon…